What is the answer to 1/(x-2)=2 ?

The answer to 1/(x-2)=2 is x= 5/2

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1/(x-2)=2

\frac{1}{x - 2} = 2

x = \frac{5}{2}

Decimal Notation

x = 2.5

Solution steps

\frac{1}{x - 2} = 2

Multiply both sides by

x - 2

1 = 2 (x - 2)

Switch sides

2 (x - 2) = 1

Divide both sides by

2

x - 2 = \frac{1}{2}

Move

2

to the right side

x = \frac{5}{2}

Verify Solutions

Find undefined (singularity) points:

x = 2

Combine undefined points with solutions:

x = \frac{5}{2}

\frac{10}{x + 2} = 5

m, \frac{n + 5}{m} = 6

x - 81 x^{- 3} = 0

E, T = \frac{3 U}{E}

\frac{1}{x - 3} - \frac{5}{x + 4} = 2